Burr regression and portfolio segmentation

被引:26
作者
Beirlant, J
Goegebeur, Y
Verlaak, R
Vynckier, P
机构
[1] Katholieke Univ Leuven, Dept Math, B-3000 Louvain, Belgium
[2] Katholieke Univ Leuven, Dept Appl Econ, B-3000 Louvain, Belgium
[3] Boels & Begault Re AON Grp, B-1140 Brussels, Belgium
关键词
Burr distribution; regression; risk tarification;
D O I
10.1016/S0167-6687(98)00045-6
中图分类号
F [经济];
学科分类号
02 ;
摘要
Two Burr regression models are proposed. These models extend existing log-logistic regression models. An algorithm for computing the maximum likelihood estimators is proposed. Graphical techniques for model validation are incorporated. An actuarial application to portfolio segmentation for fire insurance is included. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:231 / 250
页数:20
相关论文
共 12 条
[1]   Tail index estimation, pareto quantile plots, and regression diagnostics [J].
Beirlant, J ;
Vynckier, P ;
Teugels, JL .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1996, 91 (436) :1659-1667
[2]  
Beirlant J., 1996, PRACTICAL ANAL EXTRE
[3]   ASYMPTOTIC PROPERTIES OF ML ESTIMATORS WHEN SAMPLING FROM ASSOCIATED POPULATIONS [J].
BRADLEY, RA ;
GART, JJ .
BIOMETRIKA, 1962, 49 (1-2) :205-&
[4]   Cumulative frequency functions [J].
Burr, IW .
ANNALS OF MATHEMATICAL STATISTICS, 1942, 13 :215-232
[5]   ASYMPTOTIC PROPERTIES OF MAXIMUM LIKELIHOOD ESTIMATIONS FOR INDEPENDENT NOT IDENTICALLY DISTRIBUTED CASE [J].
HOADLEY, B .
ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (06) :1977-&
[6]  
Hogg R.V., 1984, LOSS DISTRIBUTIONS
[7]  
Johnson N., 1994, CONTINUOUS UNIVARIAT, V1, DOI DOI 10.1016/0167-9473(96)90015-8
[8]  
Lawless J.F., 2011, Statistical models and methods for lifetime data, V2nd
[9]  
*NAG, 1993, NAG FORTR LIB MAN MA
[10]  
PREGIBON D, 1982, ENCY STAT SCI, V5, P82